Search a number
-
+
21802116 = 2237277937
BaseRepresentation
bin101001100101…
…0110010000100
31112000122212210
41103022302010
521040131431
62055143420
7353213010
oct123126204
945018783
1021802116
1111341286
127374b70
13469477b
142c77540
151da9d46
hex14cac84

21802116 has 48 divisors (see below), whose sum is σ = 58411136. Its totient is φ = 6200064.

The previous prime is 21802097. The next prime is 21802117. The reversal of 21802116 is 61120812.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21802092 and 21802101.

It is not an unprimeable number, because it can be changed into a prime (21802117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22800 + ... + 23736.

Almost surely, 221802116 is an apocalyptic number.

It is an amenable number.

21802116 is an abundant number, since it is smaller than the sum of its proper divisors (36609020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21802116 is a wasteful number, since it uses less digits than its factorization.

21802116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 21802116 is about 4669.2736051767. The cubic root of 21802116 is about 279.3612822016.

Adding to 21802116 its reverse (61120812), we get a palindrome (82922928).

The spelling of 21802116 in words is "twenty-one million, eight hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 277 554 831 937 1108 1662 1874 1939 2811 3324 3748 3878 5622 5817 6559 7756 11244 11634 13118 19677 23268 26236 39354 78708 259549 519098 778647 1038196 1557294 1816843 3114588 3633686 5450529 7267372 10901058 21802116